I don't know if this is what you're talking about or not, but (at the risk of over-generalizing) I think there may be three different "levels" of speaker dimensionality.
Most decent speakers can give you good left-to-right imaging if they are set up well and if you sit in the right place. Sometimes these images can seem to be beyond the spread of the speakers.
Many speakers, when set up properly, can give you a good sense of depth, placing sound source images in the front-to-back dimension as well as left-to-right within the soundstage. In my opinion this is more enjoyable than mere left-to-right imaging. Sometimes these images and seem to be beyond the walls of the room.
Some speakers can do better still and seemingly take you into the acoustic space that's on the recording. I call this "envelopment", using David Griesinger's term. Achieving envelopment is particularly setup-dependent, in my experience.
All that being said, in my opinion timbre and dynamics matter more. As Jason Serinus wrote many years ago (paraphrasing), "I am not so much interested in where the musicians are on the stage, as I am in why they are on the stage."